4 to the power of negative n equals 32 then what is n

Answer:

The answer is 1.6

Answer:

1.6 minutes/lap

Step-by-step explanation:

Do 20 divided by 12.5 to get 1.6.

Hello,

When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π

- I . A -

In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.

In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.

Answer:

C)3x+6y=9

-2x-4y=4

Step-by-step explanation:

A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together.

Lets check with each option

We multiply the first equation by 2  and second equation by 3 and add it.

When both x  and y terms gets cancelled then we can say there were no solutions.

A) -2x+4y=4

-3x+6y=6

Equation becomes

-4x + 8y = 8

-9x + 18y = 18

------------------------

-13x + 26y = 26

B) 3x+y=12

-3x+6y=6

Multiply first equation by 2  and second equation by 3

6x + 2y = 24

-9x + 18x = 18

------------------------

-3x + 20y = 42

C)3x+6y=9

-2x-4y=4

Multiply first equation by 2  and second equation by 3

6x + 12y = 18

-6x - 12y = 12

---------------------------

          0 = 30

Both x  and y terms becomes 0. Hence there is no solution for these system of equations.

Answer:

.3x+6y=9

-2x-4y=4

Step-by-step explanation:

college bridje

Answer:

The correct answer Is B ! i did a study on this before

Step-by-step explanation:

Answer with Step-by-step explanation:

The formula for correlation coefficient is:

[tex]\dfrac{\sum xy-\dfrac{(\sum x\sum y)}{n}}{\sqrt{(\sum x^2-\dfrac{(\sum x)^2}{n})(\sum y^2-\dfrac{(\sum y)^2}{n})}}[/tex]

          x            y          x²           y²          xy

          15           36       225       1296      540

          13           22       169        484        286

          12           6          144        36          72

          11           20         121        400        220

∑        51           84         659      2216       1118

Correlation coefficient=

[tex]\dfrac{1118-\dfrac{51\times 84}{4} }{\sqrt{(659-\dfrac{51\times 51}{4})(2216-\dfrac{84\times 84}{4} ) } } \\\\=\dfrac{47}{\sqrt{8.75\times 452} } \\\\=\dfrac{47}{\sqrt{3955} }\\ \\=0.75[/tex]

Hence, correct option is:

A. 0.75

Answer:

Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11  USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign  -x=11-5 subtract the numbers -x=6 final answer is X=-6

Answer:

II and III.

Step-by-step explanation:

Having branches near you is very important! Also knowing what you personally need from a bank is important

Answer:

3

Step-by-step explanation:

We have answered a three-part mathematical question. First, we converted 35% to a fraction, resulting in 7/20. We then calculated the sale price of inline skates by deducting this percentage from the original price to reach $81.24. Finally, we computed a 5% tax on the sales price to find a final total cost of $85.3.

This question moves through several concepts in percentage and tax calculation. The first part of the question asks you to express 35% as a fraction, which, when reduced, can be represented as 7/20.

For the second part of the question, in order to calculate the sale price, we need to compute 35% ($43.75) of the original price ($124.99) and deduct this amount from the original price, resulting in a sale price of $81.24.

Lastly, we need to calculate and add a 5% sales tax to the sale price. 5% of $81.24 is $4.06. Adding this to the sale price, we get a total cost of $85.3.

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Answer:

X = 17°

Step-by-step explanation:

Given that triangle Δ IJK ≅ triangle Δ PQR.

Using CPCTC (corresponding parts of congruent triangles are congruent), we can say angle ∠I = angle ∠P.

given angle ∠I = 3x + 4, and angle ∠P = 72 - x.

Now solving angle ∠I = angle ∠P.

3x + 4 = 72 - x

3x = 72 - x - 4

3x = 68 - x

3x + x = 68

4x = 68

x = 68/4 = 17 degrees.

Hence, the value of x is 17°.

26/24=x/16

26*2/3=52/3

Answer:

The correct option is B.

Step-by-step explanation:

The distance between two points is

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the given figure it is clear that the coordinates of G are (1,2) and the coordinates of H are (6,5).

[tex]D=\sqrt{(6-1)^2+(5-2)^2}[/tex]

[tex]D=\sqrt{(5)^2+(3)^2}[/tex]

[tex]D=\sqrt{25+9}[/tex]

[tex]D=\sqrt{34}[/tex]

[tex]D=5.83[/tex]

[tex]D\approx 5.8[/tex]

The length of GH is 5.8 units. Therefore the correct option is B.

Answer:

192

Step-by-step explanation:

The number of books is 12 times 16.

12 * 16 =

       16

   x  12

----------

      32

+   16

----------

     192

Answer: 192

Answer:

Step-by-step explanation:

0.126126126... = x

Numerator is 14

Correct answer is B.14

Answer:

Georgia would get 32 sweets and Courtney would get 56 sweets.  

Step-by-step explanation:

This question asks you to find equivalent fractions or ratio.  They give us the starting ratio of 4:7, which represents that for every four sweets that Georgia receives, Courtney receives 7.  They also tell us that Courtney gets 24 more sweets than Georgia.  If we let 'x' equal the number of sweets that Georgia receives and 'x+24' equal the number of sweets that Courtney receives, then we can set up a proportion where 4/7 = x/(x+24).  We then can use cross-multiplication and division to solve for the value of 'x'.  In this case 4(x +24) = 7x.  We use distribution to get 4x + 96 = 7x, then inverse operations (subtracting 4x from both sides) to get 96 = 3x, then inverse operations to divide 3 by both sides to get x=32.  32 would be the number of sweets Georgia receives and 32+24=56 would be the number of sweets that Courtney receives.  

Georgia and Courtney share sweets in the ratio 4:7, meaning for every 4 sweets Georgia gets, Courtney has 7. Given that Courtney gets 24 more sweets than Georgia, together they get a total of 88 sweets.

This question is about the concept of ratio in mathematics. Georgia and Courtney share sweets in the ratio 4:7. This can also mean that for every 4 sweets Georgia gets, Courtney gets 7. But, the question mentions that Courtney gets 24 more sweets than Georgia.

Let's assume that Georgia gets 4x sweets and Courtney gets 7x sweets. So, 7x - 4x = 24, because Courtney gets 24 more sweets. Hence 3x equals to 24. Therefore, x = 24/3 = 8.

Now to find how many sweets each gets, we multiply their ratio parts by this value. For Georgia, we get: 4 * 8 = 32 sweets, and Courtney gets, 7 * 8 = 56 sweets. Both together get 32 + 56 = 88 sweets.

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Answer:

1 1/11 times greater

Step-by-step explanation:

When we are looking for how man time greater, we know we have to divide

36/33

Each number can be divided by 3

12/11

We can change this to a mixed number

1 1/11 times greater

If all sides have the same length, then this is an equilateral triangle. Therefore, the measures of the angles are the same and amount to 60°.

Therefore we have the equations:

7x - 3 = 60    add 3 to both sides

7x = 63      divide both sides by 7

x = 9

----------------

11y + 5 = 60        subtract 5 from both sides

11y = 55     divide both sides by 11

y = 5

Check:

m∠N = (7x - 3)° → m∠N = (7(9) - 3)° = (63 - 3)° = 60°

m∠M = (11y + 5)° → m∠M = (11(5) + 5)° = (55 + 5)° = 60°

CORRECT :)

Answer:

1/2

Step-by-step explanation:

Answer:

25% of 200 is 50

Step-by-step explanation

40% of a number is 80

.40 * n = 80

Divide each side by .4

.40 n/.4 = 80/.4

n = 200

The number is 200

Now lets find 25 percent of that number

.25 * 200 = 50

Answer:

-4

Step-by-step explanation:

When you subtract a negative number, it is like adding a positive.

-6 - (-2)

-6 + 2

-4

Answer:

I think the answer is -4

Step-by-step explanation:

First change the -(-2) to 2: Next you would add -6-2 to get -4(why you add is because you changed the subtraction sign to addition when you simplified the equation).  

Answer:

the right answer is (8, 8)

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

got it right on edg

Answer:

Megan will have to pay $2, 260 for surgery.

Step-by-step explanation:

1. Translate percent into decimal:

90% -> 0.9

2. Multiply (to find out how much the insurance company pays):

(0.9)(14, 600) = 13, 140

3. Subtract:

14, 600 - 13, 140 = 1, 460

4. Add (to find out how much Megan pays):

1, 460 + 800 = 2, 260

Answer:

Megan payed $2,260

Step-by-step explanation:

Problem 7a

Answer: [tex]18 \le y < 300[/tex]

where y is the amount of tax paid in dollars

So y is between 18 and 300; including 18 but excluding 300.

-----------------------

Explanation:

x = annual income (in dollars)

y = amount of tax you have to pay (in dollars)

If x is between 600 and 10,000 then y is 3% of that, so y = 0.03*x is the rule for the first tax bracket.

If someone's income is x = 600 dollars, then they have to pay y = 0.03*600 = 18 dollars. This is the "floor" or lowest amount of tax that must be paid. We can't go any lower.

On the other side of the spectrum for this bracket, the highest income possible is x = 10,000 so 3% of this is y = 0.03*x = 0.03*10000 = 300 dollars. This is the "ceiling" or highest amount of tax paid for this bracket.

======================================

Problem 7b

Answer: Annual income is over $10,000

Possible annual incomes can be expressed by this compound inequality [tex]12000 \le x \le 19000 [/tex] meaning the incomes could be between $12,000 and $19,000 (inclusive of both endpoints).

-----------------------

Explanation:

From part A above, we found that the highest paid tax in the first bracket was $300 (well $299.99 because the exact amount 300 wasn't included). The lowest amount 400 is well above the ceiling mentioned, so we must be in the second tax bracket.

Here's how we compute the second tax bracket: we take 3% of 10,000 to get $300 and then we add on 5% of the remaining income over $10,000. The equation that represents this is y = 0.05*x + 300 where x is the extra amount of money over $10,000. For example, if I said x = 20, then we are 20 dollars over $10,000

Plug in y = 400 and let's solve for x to get

y = 0.05*x + 300

400 = 0.05*x + 300

0.05x = 100

x = 100/0.05

x = 2000

Meaning that a person making an extra $2000 on top of the $10,000 already taxed earns a total of $12,000 annually

Repeat for y = 50

y = 0.05*x + 300

750 = 0.05*x + 300

0.05x = 450

x = 450/0.05

x = 9000

So the annual income is 10,000+x = 10,000+9,000 = 19,000

======================================

Problem 7c

Answer: Anyone earning over $20,000 will pay less in tax at the 4% tax rate.

-----------------------

Explanation:

y = original tax rate for the second bracket (3% of first 10,000 plus 5% extra)

y = 5% of (extra amount over $10,000) + (3% of 10,000)

y = 5% of (x - 10000) + (3% of 10,000)

y = 0.05*(x-10000) + 300

z = 4% of annual income

z = 0.04*x

We want to see what x values will make z smaller than y

z < y

0.04x < 0.05*(x-10000) + 300

0.04x < 0.05*x-0.05*10000 + 300

0.04x < 0.05*x-500 + 300

0.04x < 0.05*x-200

0.04x-0.05*x < -200

-0.01*x < -200

x > -200/(-0.01) ......... note the inequality sign flips

x > 20000

If you earn more than $20,000 then the original rule of "3% plus the first $10,000 plus 5% of any extra income" will charge more tax. So for higher earners, they will want the flat tax rate of 4%

Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)

Answer:

Try D because a number times 10 to the power of anything is not that number!

Step-by-step explanation:

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

[tex]t_{1} =\frac{30}{v}[/tex]           ( [tex]time=\frac{distance}{speed}[/tex])

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

[tex]t_{2} =\frac{17}{v+2}[/tex]

now total time t spent by the bicyclist to cover entire trip is given by

[tex]t=t_{1} +t_{2}[/tex]

[tex]t=\frac{30}{v} +\frac{17}{v+2}[/tex]

now if v=18 , we have

[tex]t=\frac{30}{18} +\frac{17}{20}[/tex]

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

[tex]t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}[/tex][tex]t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}[/tex]

[tex]t=\frac{453}{180} =2.52[/tex] hours (approx)

Answer:

2 hours 31 minutes

Step-by-step explanation:

Answer:

Its 1/4^10

    Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression (4⁻²)⁵ can be simplified as shown below.

(4⁻²)⁵

= (1/4²)⁵

= (1/16)⁵

= 1⁵/16⁵

= 1 / 1048576

It can also be rewritten in the form of exponents as,

(4⁻²)⁵

= 4⁽⁻²ˣ⁵⁾

= 4⁻¹⁰

Hence, the given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.

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Answer:

c = 1/7

Step-by-step explanation:

Here we have to solve the linear equation.

We need to find the value of c.

5 = 6 - 7c

Isolate the variable and constants

Add 7c on both sides, we get

7c + 5 = 6 - 7c + 7c

7c + 5 = 6

Subtract 5 from both sides, we get

7c + 5 - 5 = 6 - 5

7c = 1

Dividing both sides by 7, we get

c = 1/7

Thank you.

Answer:

350 Stamps left

Step-by-step explanation:

First do 5/8*400= 250

Then take 1/5 of it 1/5*250

You end up with 50 so do 250-50= 200 and add the 150 Canadian stamps to get a total of 350 stamps.

You can use the fact that value of a fraction of a number can be calculated by multiplying that  fraction with that number.

Peter is left with 350 stamps.

The value of a fraction of a number can be calculated by multiplying that  fraction with that number.

For example, 2/3 of 30 is calculated as:  [tex]\dfrac{2}{3} \times 30 = 2 \times 10 = 20[/tex]

Count of total stamps = Count of US stamps + Count of Canadian stamps.

Number of US stamps = 5/8 of total stamps.

Total stamps = 400.

Thus,

[tex]\text{Number of US stamps} = \dfrac{5}{8} \times 400 = 5 \times 50 = 250[/tex]

Thus, we have:

400 = 250 + Count of Canadian stamps.

400 - 250 = Count of Canadian stamps.

Count of Canadian stamps = 150

Since Peter gave 1/5 of US stamps to his friend, thus:
[tex]\text{Count of US stamps Peter gave} = \dfrac{1}{5} \times 250 = 50[/tex]

Thus, out of 400 stamps, Peter gave 50 stamps.

Thus, peter is left with 400 - 50 = 350 stamps.

Thus,

Peter is left with 350 stamps.

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